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Finding the Fourth Proportional to 532,019.09, 734,204.05 and 290,314.93

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Solution

The fourth proportional to 532,019.09, 734,204.05 and 290,314.93 is: 400,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,019.09 : 734,204.05 = 290,314.93 : x
  2. Step 2: Convert to fraction form
    532,019.09/734,204.05 = 290,314.93/x
  3. Step 3: Cross multiply
    532,019.09x = 734,204.05 × 290,314.93
  4. Step 4: Simplify right side
    532,019.09x = 213,150,392,258.87
  5. Step 5: Solve for x
    x = 213,150,392,258.87/532,019.09
  6. Step 6: Final answer
    x = 400,644.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.